d) Determine whether the following utility functions are homothetic on non-hom i) U(X, Y) = InX + Y ii) U(X, Y) = InX + InY iii) U(X, Y) = X2 +3Y2 [6 m e) Determine the degree of homogeneity of the following utility function an whether they portray increasing, decreasing or constant utility f) i) U ( G, B) = G / 3B2 / 3 ii ) U ( X, Y) = 3X- / sY /4 iii) U ( X, Y) = x/4Y1/2 [